Solve (-3^2)^3+(16)^frac{1{2}}+(1/5)^-3

$$( - 3 ^ { 2 } ) ^ { 3 } + ( 16 ) ^ { \frac { 1 } { 2 } } + ( \frac { 1 } { 5 } ) ^ { - 3 }$$

Evaluate

$$-600$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\left(-9\right)^{3}+16^{\frac{1}{2}}+\left(\frac{1}{5}\right)^{-3}$$

Calculate -9 to the power of 3 and get -729.

$$-729+16^{\frac{1}{2}}+\left(\frac{1}{5}\right)^{-3}$$

Calculate 16 to the power of \frac{1}{2} and get 4.

$$-729+4+\left(\frac{1}{5}\right)^{-3}$$

Add -729 and 4 to get -725.

$$-725+\left(\frac{1}{5}\right)^{-3}$$

Calculate \frac{1}{5} to the power of -3 and get 125.

$$-725+125$$

Add -725 and 125 to get -600.

$$-600$$

Factor

$$-600$$